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Finding the Fourth Proportional to 21,493.74, 32,242.62 and 7,451.58

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Solution

The fourth proportional to 21,493.74, 32,242.62 and 7,451.58 is: 11,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.74 : 32,242.62 = 7,451.58 : x
  2. Step 2: Convert to fraction form
    21,493.74/32,242.62 = 7,451.58/x
  3. Step 3: Cross multiply
    21,493.74x = 32,242.62 × 7,451.58
  4. Step 4: Simplify right side
    21,493.74x = 240,258,462.34
  5. Step 5: Solve for x
    x = 240,258,462.34/21,493.74
  6. Step 6: Final answer
    x = 11,178.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.